激光混沌系统及抗攻击图像加密算法的协同设计
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1.宁夏师范大学物理与电子信息工程学院固原756000;2.西北师范大学物理与电子工程学院兰州730070

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TP309.7;TN918;O415.5

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2025年自治区重点研发计划引才专项(2025BEH04102)项目资助


Co-design of laser chaotic system and anti-attack image encryption algorithm
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1.School of Physics and Electronic Information Engineering, Ningxia Normal University, Guyuan 756000, China; 2.College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070,China

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    摘要:

    基于经典Lorenz—Haken混沌系统构建了一个四维激光混沌系统,并对其非线性动力学特性进行了理论分析与数值验证。通过对Lyapunov指数谱、分岔图、Poincar截面等多维度分析方法,系统揭示了该混沌系统的平衡点稳定性、非线性演化规律及多稳态共存特性。基于相空间重构与吸引子维度计算,定量表征了系统吸引子的复杂动力学行为,发现其存在双涡卷混沌吸引子的对称现象。为实现理论模型向物理系统的转化,设计并实现了等效模拟电路,实验电路输出信号与数值仿真结果具有高度一致性。在此基础上,提出并设计了一种联合置乱、动态DNA编码、逆向级联扩散的三阶段彩色图像加密算法。结果表明,加密图像的信息熵达到7.999 4,相邻像素相关系数低于0.003,直方图呈现均匀分布特性,能够抵御裁剪攻击和噪声攻击。理论分析与实验验证表明,该系统在混沌特性与抗攻击能力方面满足信息安全需求,为光通信加密技术提供了新的实现方案。

    Abstract:

    Based on the classical Lorenz-Haken chaotic system, a four-dimensional laser chaotic system is constructed, and its nonlinear dynamical characteristics are theoretically analyzed and numerically verified. Through multi-dimensional analytical methods, including Lyapunov exponent spectra, bifurcation diagrams, and Poincar sections, the equilibrium point stability, nonlinear evolution mechanisms, and multi-stability coexistence characteristics of the chaotic system are systematically revealed. Based on phase space reconstruction and attractor dimension calculations, the complex dynamical behaviors of the system’s attractor are quantitatively characterized, revealing the symmetric dual-vortex chaotic attractor. To bridge the theoretical model with physical implementation, an equivalent analog circuit is designed and experimentally validated, demonstrating high consistency between the circuit output signals and numerical simulation results. Building on this foundation, a three-stage color image encryption algorithm combining position scrambling, dynamic DNA encoding, and reverse cascaded diffusion is proposed. The results show that the encrypted image achieves an information entropy of 7.999 4, adjacent pixel correlation coefficients below 0.003, and a uniform histogram distribution, demonstrating strong resistance to cropping and noise attacks. Theoretical analysis and experimental verification confirm that the system meets the requirements for information security in terms of chaotic characteristics and anti-attack capabilities, providing a new implementation scheme for optical communication encryption technologies.

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杨阳,摆玉龙,李艳,张俊芳,万怡华.激光混沌系统及抗攻击图像加密算法的协同设计[J].电子测量与仪器学报,2025,39(11):152-160

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  • 在线发布日期: 2026-02-03
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